#include #include #include using std::cin; using std::cout; const char endl = '\n'; const int mod = 998244353; constexpr long long binpow(long long a, long long b) { a %= mod; long long res = 1; while (b) { if (b & 1) res = res * a % mod; a = a * a % mod; b >>= 1; } return res; } void number_theoretic_transform(std::vector &a) { if (a.size() == 1) return; // assert(a.size() == (1 << std::__lg(a.size()))); int k = std::__lg(a.size()); for (int i = 0; i < a.size(); i++) { int t = 0; for (int j = 0; j < k; j++) { if (i & (1 << j)) { t |= 1 << (k - j - 1); } } if (i < t) std::swap(a[i], a[t]); } for (int len = 2; len <= a.size(); len <<= 1) { int m = len >> 1; long long wn = binpow(3, (mod - 1) / len); for (int i = 0; i < a.size(); i += len) { long long w = 1; for (int j = 0; j < m; j++) { long long u = a[i + j], v = a[i + j + m] * w % mod; a[i + j] = ((u + v) % mod + mod) % mod; a[i + j + m] = ((u - v) % mod + mod) % mod; w = w * wn % mod; } } } } class Poly : public std::vector { private: public: using std::vector::vector; Poly() = default; Poly(const std::vector &__v) : std::vector(__v) {} Poly(std::vector &&__v) : std::vector(std::move(__v)) {} Poly operator*(const Poly &b) const { int n = size() - 1, m = b.size() - 1, k = 1 << (std::__lg(n + m) + 1), inv = binpow(k, mod - 2); std::vector f(*this), g(b); f.resize(k); number_theoretic_transform(f); g.resize(k); number_theoretic_transform(g); for (int i = 0; i < k; i++) { f[i] = f[i] * g[i] % mod; } number_theoretic_transform(f); // assert(f.size() > 0) std::reverse(f.begin() + 1, f.end()); std::vector res(n + m + 1); for (int i = 0; i <= n + m; i++) { res[i] = f[i] * inv % mod; } return Poly(res); } } poly; int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; Poly f(n + 1), g(m + 1); for (int i = 0; i <= n; i++) { cin >> f[i]; } for (int i = 0; i <= m; i++) { cin >> g[i]; } auto res = f * g; for (int x : res) cout << x << ' '; cout << endl; return 0; }